Question

A set of positive and negative rational numbers is shown.

8/15, -2/7, -7/9, 3/8, -1/2

What is the difference between the largest and the smallest numbers in the list?

Answer 1

Answer:1 3/4 < 1 7/8
Showing the workThe least common denominator is 8Comparing 14/8 and 15/8:
14/8 < 15/8     ...       .....                  ...     ....therefore1 3/4 < 1 7/8

Answer 2

The largest number is 8/15
The smallest is -7/9
Now, subtract
8/15 - (-7/9)
Subtracting by a negative number is adding by a positive one
8/15 + 7/9
The LCM of 15 and 9 is 45
24/45 + 35/45 
= 59/45
That's your answer.

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From your friendly Helper-in-Training, collinjunn0827